Dynamic adaptation for deforming tetrahedral meshes

Baker, Timothy J.; Cavallo, Peter A.

doi:10.2514/6.1999-3253

Cited by 42 publications

(31 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Trajectories can thus be assigned to inner vertices, or in other words, positions at a future solver time step. Several techniques can be found to compute this displacement field: implicit or direct interpolation [13,44], or solving PDEs-the most common of which being Laplacian smoothing [40], a spring analogy [19] and a linear elasticity analogy [6]. It is this last method that we selected, due to its robustness in 3D [58].…”

Section: Linear Elasticity Mesh Deformation Methodsmentioning

confidence: 99%

Three-dimensional CFD simulations with large displacement of the geometries using a connectivity-change moving mesh approach

Barral

Alauzet

2018

Engineering with Computers

View full text Add to dashboard Cite

This paper deals with three-dimensional (3D) numerical simulations involving 3D moving geometries with large displacements on unstructured meshes. Such simulations are of great value to industry, but remain very time-consuming. A robust moving mesh algorithm coupling an elasticity-like mesh deformation solution and mesh optimizations was proposed in previous works, which removes the need for global remeshing when performing large displacements. The optimizations, and in particular generalized edge/face swapping, preserve the initial quality of the mesh throughout the simulation. We propose to integrate an Arbitrary Lagrangian Eulerian compressible flow solver into this process to demonstrate its capabilities in a full CFD computation context. This solver relies on a local enforcement of the discrete geometric conservation law to preserve the order of accuracy of the time integration. The displacement of the geometries is either imposed, or driven by fluid-structure interaction (FSI). In the latter case, the six degrees of freedom approach for rigid bodies is considered. Finally, several 3D imposed-motion and FSI examples are given to validate the proposed approach, both in academic and industrial configurations.

show abstract

Section: Linear Elasticity Mesh Deformation Methodsmentioning

confidence: 99%

Three-dimensional CFD simulations with large displacement of the geometries using a connectivity-change moving mesh approach

Barral

Alauzet

2018

Engineering with Computers

View full text Add to dashboard Cite

show abstract

“…The first achievements made to supply r -adaptive methods with the local mesh modifications consisted in applying refinement/coarsening procedures according to both shape and deformation measures of the elements [4,5]. The robustness of the method was improved recently by adding edge and face swaps to eliminate sliver elements [6,7].…”

Section: G Compère Et Almentioning

confidence: 99%

A mesh adaptation framework for dealing with large deforming meshes

Compère

Remacle

Jansson

et al. 2009

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYIn this paper, we identify and propose solutions for several issues encountered when designing a mesh adaptation package, such as mesh-to-mesh projections and mesh database design, and we describe an algorithm to integrate a mesh adaptation procedure in a physics solver. The open-source MAdLib package is presented as an example of such a mesh adaptation library. A new technique combining global node repositioning and mesh optimization in order to perform arbitrarily large deformations is also proposed. We then present several test cases to evaluate the performances of the proposed techniques and to show their applicability to fluid-structure interaction problems with arbitrarily large deformations.

show abstract

“…The coarsening procedure described in Reference [11] was based on the use of edge collapse in both 2D and 3D. Given edge AB, the two points A and B would be replaced by a new point P at the mid-point of edge AB, the edge AB and the two triangles (the ring of tetrahedra in 3D) incident to edge AB would be removed and the data structure would be updated to correspond to the new mesh that contains one less point.…”

Section: Mesh Coarsening By Edge Collapsementioning

confidence: 99%

“…Mesh coarsening can be achieved by the use of an edge collapse technique whenever the length density function is large compared to the actual mesh length scale h [11].…”

Section: Length Density Functionmentioning

confidence: 99%

Mesh deformation and modification for time dependent problems

Baker

2003

Numerical Methods in Fluids

View full text Add to dashboard Cite

SUMMARYMesh coarsening and mesh reÿnement are combined to provide a exible approach for the adaptation of time dependent problems. When the shape of the domain remains ÿxed but the computed solution is unsteady (e.g. vortex shedding of laminar ow over a cylinder), successive applications of coarsening and reÿnement allow the computed solution to be tracked in an e cient manner. The addition of a mesh movement phase extends this technique to handle a domain whose shape is also evolving with time.

show abstract

Dynamic adaptation for deforming tetrahedral meshes

Cited by 42 publications

References 3 publications

Three-dimensional CFD simulations with large displacement of the geometries using a connectivity-change moving mesh approach

Three-dimensional CFD simulations with large displacement of the geometries using a connectivity-change moving mesh approach

A mesh adaptation framework for dealing with large deforming meshes

Mesh deformation and modification for time dependent problems

Contact Info

Product

Resources

About